Women€™s winning times in Olympic 500-meter speed skating are shown in Table 31 for various years.

Let w be the women€™s winning time (in seconds) at t years since 1970.
a. Construct a scatterplot.
b. Is there a linear association, a nonlinear association, or no association?
c. Compute r. On the basis of the scatterplot and r, determine the strength of the association.
d. Is the association positive, negative, or neither? What does that mean in this situation?
e. The faster Olympic competitors skate, the more innovative their training programs and nutrition plans must be to skate yet faster. Refer to some of the data in Table 31 that suggest that the linear association might not continue for much longer.

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Table 31 Years versus Women's 500-Meter Speed Skating Times Winning Time Winning Time Year (seconds) Year (seconds) 1972 1976 1980 1984 1988 1992 43.33 2.76 41.78 41.02 39.10 40.33 1994 1998 2002 2006 2010 2014 39.25 38.21 7.375 38.285 38,050 37.35